Finding the Third Proportional to 2,356.75 and 3,715.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,356.75 : 3,715.50 = 3,715.50 : x
2. Step 2: Convert to fraction form
   2,356.75/3,715.50 = 3,715.50/x
3. Step 3: Cross multiply
   2,356.75x = 3,715.50 × 3,715.50
4. Step 4: Simplify right side
   2,356.75x = 13,804,940.25
5. Step 5: Solve for x
   x = 13,804,940.25/2,356.75
6. Step 6: Final answer
   x = 5,857.62